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923112312032 = 25194335036971
BaseRepresentation
bin11010110111011011100…
…10000000110011100000
310021020201021200011222002
431123231302000303200
5110111013222441112
61544023312303132
7123456404121311
oct15335562006340
93236637604862
10923112312032
1132654291aa19
1212aaa4541aa8
1369083bacaa1
1432970b8c608
151902b6241c2
hexd6edc80ce0

923112312032 has 96 divisors (see below), whose sum is σ = 1921534513920. Its totient is φ = 435324119040.

The previous prime is 923112312007. The next prime is 923112312079. The reversal of 923112312032 is 230213211329.

It is a junction number, because it is equal to n+sod(n) for n = 923112311986 and 923112312004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132418307 + ... + 132425277.

It is an arithmetic number, because the mean of its divisors is an integer number (20015984520).

Almost surely, 2923112312032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 923112312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960767256960).

923112312032 is an abundant number, since it is smaller than the sum of its proper divisors (998422201888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

923112312032 is a wasteful number, since it uses less digits than its factorization.

923112312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 923112312032 in words is "nine hundred twenty-three billion, one hundred twelve million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 433 503 608 866 1006 1732 2012 3464 4024 6928 6971 8048 8227 9557 13856 13942 16096 16454 19114 27884 32908 38228 55768 65816 76456 111536 131632 132449 152912 217799 223072 263264 264898 305824 435598 529796 871196 1059592 1742392 2119184 3018443 3484784 3506413 4138181 4238368 6036886 6969568 7012826 8276362 12073772 14025652 16552724 24147544 28051304 33105448 48295088 56102608 57350417 66210896 66621847 96590176 112205216 114700834 132421792 133243694 229401668 266487388 458803336 532974776 917606672 1065949552 1518276829 1835213344 2131899104 3036553658 6073107316 12146214632 24292429264 28847259751 48584858528 57694519502 115389039004 230778078008 461556156016 923112312032